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A041544
Numerators of continued fraction convergents to sqrt(290).
3
17, 579, 19703, 670481, 22816057, 776416419, 26420974303, 899089542721, 30595465426817, 1041144914054499, 35429522543279783, 1205644911385567121, 41027356509652561897, 1396135766239572671619, 47509643408655123396943, 1616724011660513768167681
OFFSET
0,1
FORMULA
a(n) = 34*a(n-1)+a(n-2) for n>1, a(0)=17, a(1)=579. G.f.: (17+x)/(1-34*x-x^2). [Philippe Deléham, Nov 23 2008]
MAPLE
numtheory:-cfrac(sqrt(290), 30, 'convergents'):
map(numer, convergents[1..-2]); # Robert Israel, Jun 22 2015
MATHEMATICA
Numerator[Convergents[Sqrt[290], 30]] (* Vincenzo Librandi, Nov 04 2013 *)
CROSSREFS
Cf. A041545.
Sequence in context: A249862 A056771 A041547 * A202407 A009709 A162490
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
Additional term from Colin Barker, Nov 08 2013
STATUS
approved